write the following sentence as an equation: x is directly proportional to y and is inversely proportional to the cube of z.

I need help on this problem will give Brainlist if right!

Sindrei [870]

Answer:

b

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Point C is located at (1, 2), and point D is located at (−4, −2). Find the x value for the point that is 1 over 4 the distance f

lutik1710 [3]

Answer:

Point C occurs on the line x = 1

Point D occurs on the line y = -2

The intersection of both lines occurs at the point E = (1,-2)

The difference between the x coordinates of points D and E is 1 + 1/4 units

The difference between the y coordinates of points C and E is 1 unit

Let point F be the point that is 1/4 the distance from point C to point D

To find the x-coordinate F subtract the difference between the x coordinate of points C and E from the x-coordinate of C:

1 - (1 + 1/4) = -1/4

To find the y-coordinate of F subtract the difference between the y-coordinates of D and E from the y-coordinate of C

2 - 1 = 1

The coordinates of point F are (-1/4, 1)

Therefore, the y value of the point that is 1/4th the

3 0

3 years ago

Read 2 more answers

Thirteen percent of the profits from Kendall’s business are donated to charities.write and solve an equation to find out how muc

pychu [463]

The amount given to charity from Kendall’s profit is $168.0146

Given:

Kendall’s profit = $1292.42
Percentage given to charity = 13%

<h3>How to find percentage</h3>

Amount given to charity = Percentage given to charity × Kendall’s profit

= 13% of $1292.42

= 13/100 × 1292.42

= 0.13 × 1292.42

= $168.0146

Therefore, the amount given to charity from Kendall’s profit is $168.0146

Learn more about percentage:

brainly.com/question/843074

5 0

2 years ago

Solve using law of sines or law of cosines!

malfutka [58]

Answer:

Part 5) The length of the ski lift is $1.15\ miles$

Part 6) The height of the tree is 18.12 m

Step-by-step explanation:

Part 5)

Let

A -----> Beginning of the ski lift

B -----> Top of the mountain

C -----> Base of mountain

we have

$b=0.75\ miles$

$A=20\°$

$C=180\°-50\°=130\°$ ----> by supplementary angles

Find the measure of angle B

Remember that the sum of the interior angles must be equal to 180 degrees

$B=180\°-A-C$

substitute

$B=180\°-20\°-130\°=30\°$

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute

$\frac{0.75}{sin(30\°)}=\frac{c}{sin(130\°)}$

$c=\frac{0.75}{sin(30\°)}(sin(130\°))$

$c=1.15\ miles$

Par 6)

see the attached figure with letters to better understand the problem

Applying the law of sines in the right triangle BDC

In the right triangle BDC 20 degrees is the complement of 70 degrees

$\frac{BC}{sin(70\°)}=\frac{x}{sin(20\°)}$

$BC=(sin(70\°))\frac{x}{sin(20\°)}$ -----> equation A

Applying the law of sines in the right triangle ABC

In the right triangle ABC 50 degrees is the complement of 40 degrees

$\frac{BC}{sin(40\°)}=\frac{x+15}{sin(50\°)}$

$BC=(sin(40\°))\frac{x+15}{sin(50\°)}$ -----> equation B

Equate equation A and equation B and solve for x

$(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m$

Find the value of BC

$BC=(sin(70\°))\frac{6.6}{sin(20\°)}$

$BC=18.12\ m$

therefore

The height of the tree is 18.12 m

5 0

4 years ago

What is y= X/2 + 9; x= -12

Lelu [443]

-12/2=-6
y=-6+9
-6+9=3
y=3

4 0

3 years ago